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Finding the Fourth Proportional to 34,206, 47,205.90 and 19,099.14

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Solution

The fourth proportional to 34,206, 47,205.90 and 19,099.14 is: 26,357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206 : 47,205.90 = 19,099.14 : x
  2. Step 2: Convert to fraction form
    34,206/47,205.90 = 19,099.14/x
  3. Step 3: Cross multiply
    34,206x = 47,205.90 × 19,099.14
  4. Step 4: Simplify right side
    34,206x = 901,592,092.93
  5. Step 5: Solve for x
    x = 901,592,092.93/34,206
  6. Step 6: Final answer
    x = 26,357.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.